#3843 ⟨a, b | aaaaaaaba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaaaabab^-1b^-1⟩
- Embedding: φ(a) = a, φ(b) = b

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

#	Rule	Proof
1.	a⁷ba ⇒ b²	[1]
2.	b²a⁶ba ⇒ a⁷b³	[2]

# ab:aaaaaaaba=bb ab - -
aaaaaaaba=bb
bbaaaaaaba=aaaaaaabbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	3318	⟨a, b \| aaaaaaabba=b⟩	Can Inf